## Treatise on materials science and technology, Volume 3 |

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Page 59

Comparison of the measured variation of Young's modulus in the rolling plane (

heavy line) with the variation

10} <1 12> and 50% {112}<111>; (b) {351}<112>; and (c) {358}<523> [after Alers

...

Comparison of the measured variation of Young's modulus in the rolling plane (

heavy line) with the variation

**calculated**(thin lines) from the textures (a) 50% {110} <1 12> and 50% {112}<111>; (b) {351}<112>; and (c) {358}<523> [after Alers

...

Page 61

The thin lines represent the

rolled Cu-22% Zn alloy in which a {1 10} <1 12> texture is assumed. The solid

line shows the observed modulus variation [after Alers and Liu (101)]. consistent

with ...

The thin lines represent the

**calculated**variation of Young's modulus of a cold-rolled Cu-22% Zn alloy in which a {1 10} <1 12> texture is assumed. The solid

line shows the observed modulus variation [after Alers and Liu (101)]. consistent

with ...

Page 63

18 o RD 30 40 50 60 8 [Degrees] 90 TD Fig. 27. Comparison of the observed

Young's modulus variation in the Cu-28% Zn alloy with that

assumption of a {1 10}<1 12> texture [after Liu and Alers (110)]. there are no

intensity ...

18 o RD 30 40 50 60 8 [Degrees] 90 TD Fig. 27. Comparison of the observed

Young's modulus variation in the Cu-28% Zn alloy with that

**calculated**from theassumption of a {1 10}<1 12> texture [after Liu and Alers (110)]. there are no

intensity ...

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### Common terms and phrases

Alers aluminum Andreatch anisotropic Appl axis calculated compressive stress copper crystallographic orientation cubic crystals determine direction cosines displacement gradients displacements along 001 elastic moduli elastic wave propagation energy-flux vector equation of motion experimental germanium given by Eq hydrostatic pressure hydrostatic pressure longitudinal hydrostatic pressure transverse ideal orientation interaction isotropic solid linear elastic wave longitudinal wave longitudinal wave propagating materials mode transverse wave nonlinear elastic wave obtain Papadakis particle displacements phonons Phys plane wave pressure longitudinal wave pressure transverse wave pure mode longitudinal pure mode transverse quasitransverse waves rolling direction rolling plane second harmonic second-order elastic constants shear wave single crystals six third-order elastic stress along 001 stress along 110 Substituting Eqs symmetry test specimen texture third-order elastic constants Thurston and Brugger transducer transverse wave ultrasonic beam ultrasonic pulse uniaxial stress values wave along 100 wave normal wave speeds wave velocity Young's modulus